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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 25301. |
Solve thedifferential equation `(dy)/(dx)+ycotx=2cosx ,`given that `y=0,`when `x=pi/2dot` |
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Answer» Comparing the given equation with first order differential equation, `dy/dx+Py = Q(x)`, we get,`P = cotx and Q(x) = 2cosx` So, Integrating factor `(I.F) = e^(intcotxdx)` `I.F.= e^(ln|sinx|) = sinx` we know, solution of differential equation, `y(I.F.) = intQ(I.F.)dx` `:.`Our solution will be, `ysinx = int sinx(2cosx)dx` `=>ysinx = int sin2xdx` `=>ysinx = -cos(2x)/2+c` At `y = 0 and x = pi/2`, equation becomes `0 = -cospi/2 +c => c = -1/2` So, solution will be, `ysinx = -(cos2x)/2-1/2` `=>2ysinx+cos2x+1 = 0` |
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| 25302. |
`"if y"="cos"^(-1)((5"cos" x-12 "sin"x)/(13)),` where `x in (0,(pi)/(2)) , " then "(dy)/(dx) " is"-`A. 1B. -1C. 0D. None of these |
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Answer» Correct Answer - A `y = " cos"^(-1) [(5)/(13) " cos " x - (12)/(13) " sin "x]` `y = " cos"^(-1) underset("cos"alpha)underset(darr)([(5)/(13))) " cos " x - underset("sin"alpha)underset(darr)((12)/(13)) " sin "x"]"` `="cos"^(-1) ["cos"(x+alpha)]` `y= x+alpha " "y^(1) =1` |
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| 25303. |
Define DTP |
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Answer» Dynamic Trunking Protocol (DTP) The Dynamic Trunking Protocol (DTP) is a proprietary networking protocol developed by Cisco Systems for the purpose of negotiating trunking on a link between two VLAN-aware switches, and for negotiating the type of trunking encapsulation to be used. It works on Layer 2 of the OSI model. |
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| 25304. |
I can keep you signed in. I can remember your site preferences. I can give you locally relevant content. Who am I ? |
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Answer» Answer: Cookies |
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| 25305. |
`lim_(x to0) ((1+a^(3))+8e^(1//x))/(1+(1-b^(3))e^(1//x))=2 " then "-`A. `a= 1,b=2`B. `a= 1, b=(-3)^(1//3)`C. `a=2, b=3 (1)/(3)`D. None of these |
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Answer» Correct Answer - B `underset(h to 0)("lim") ((1+a^(3)) +8e^(1//h))/(1+(1-b^(3))e^(1//h))=2` `underset(h to 0)("lim") ((1+a^(3))/(e^(1//h))+8)/((1)/(e^(1//h))+1-b^(3)) =2 rArr (8)/(1-b^(3)) =2` `rArr b^(3) =- e b=- 3^(1//3)` `L.H.L` `underset(h to 0)("lim") ((1+a^(3)) + 8e^(-1//h))/(1+(1-b^(3))e^(-1//h))=2 rArr 1+ a^(3) =2` `rArr a=1` |
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| 25306. |
What's encapsulation dot1q in Cisco? |
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Answer» IEEE 802.1Q is a standard protocol for interconnecting multiple switches and routers and for defining VLAN topologies. Use the encapsulation dot1q command in sub interface range configuration mode to apply a VLAN ID to the sub interface. |
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| 25307. |
Colour is an attribute of tag |
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Answer» The HTML <font> color Attribute is used to specify the text color inside the <font> element. color_name: It sets the text color by using color name. For example: “red”. |
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| 25308. |
If` veca,vecb,vecc` are three mutually perpendicular vectors, then the vector which is equally inclined to these vectors is (A) `veca+vecb+vecc` (B) `veca/|veca|+vecb/|vecb|+vec/|vecc|` (C) `veca/|veca|^2+vecb/|vecb|^2+vecc/|vecc|^2` (D) `|veca|veca-|vecb|vecb+|vecc|vecc`A. `veca+vecb+vecc`B. `(veca)/(|veca|)+(vecb)/(|vecb|)+(vecc)/(|vecc|)`C. `(veca)/(|veca|^(2))+(vecb)/(|vecb|^(2))+(vecc)/(|vecc|^(2))`D. |veca|veca-|vecb|vecb+|vecc|vecc|` |
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Answer» Correct Answer - B `veca.vecb.=vecb,vecc=vecc.veca=0` `"Let " vecr=(veca)/(|veca|)+(vecb)/(|vecb|)+(vecc)/(|vecc|)` `" cos "0 =(vecr.veca)/(|vecr||vecb|)=(1)/(|vecr|)` `" cos "phi = (vecr.vecb)/(|vecr||vecc|) =(1)/(|vecr|)` `" cos "Psi = (vecr.vecc)/(|vecr||vecc|) =(1)/(|vecr|)` `:. 0 = phi = Psi` |
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| 25309. |
Background attribute is used to display image |
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Answer» Answer: True The most common & simple way to add background image is using the background image attribute inside the <body> tag. The background attribute which we specified in the <body> tag is not supported in HTML5. Using CSS properties, we can also add background image in a webpage. |
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| 25310. |
What is the role of a middleware in distributed systems? |
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Answer» The role of middleware is to make application development easier, by providing common programming abstractions, by masking the heterogeneity and the distribution of the under lying hardware and operating systems, and by hiding low-level programming details. |
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| 25311. |
The equation of a line which passes through point `A(1,0,-1)` and perperdicular to the straight lines `vecr=2hatj-hatj+hatk+lambda"("2hati+7hatj-3hatk")"` and `vecr=3hati-hatj+3hatk+lambda"("2hati-2hatj+5hatk")",` is -A. `(x-2)/(29) =(y)/(-16) =(z+1)/(18)`B. `(x-1)/(29)=(y)/(-16)=(z+1)/(-18)`C. `(x-1)/(16) =(y)/(-16)=(z+1)/(-18)`D. None of these |
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Answer» Correct Answer - B Let the equation of line passes through `(x-1)/(a) =(y-0)/(b) =(z+1)/(C)" " .........(i)` it is perpendicular to two given lines `:. 2a +7b -3c =0 " "............(2)` `"and " 2a -2b +5c =0 " ".........(3)` from (2) & (3) `(a)/(29) =(b)/(-16) =(c)/(-18)` `:. Eq^(n) "of line"` `(x-1)/(29) =(y -0)/(-16) =(z+1)/(-18)` |
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| 25312. |
Calculate the area enclosed under the curve `f(x)=x^2` between the limits `x=2` and `x=3` (figure) |
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Answer» `underset2overset3intf(x)dx=underset2overset3intx^2dx` `=(x^(3))/(3)|_2^3` `=((3)^3)/(3)-(2)^3/3=19/3=6.333` |
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| 25313. |
Evaluate `int(2zdz)/(root3(z^2+1))` |
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Answer» Method 1 Let `I=int(2zdz)/(root3(z^2+1))`. Let `u=z^2+1`, then `du=2zdz`. `I=intu^(-1//3)du` [In the form of `u^ndu`] `=(u^(2//3))/(2//3)+C` [Integrate with respect to u] `=3/2u^(2//3)+C` `=(z^2+1)^(2//3)+C` [Replace `u` by `z^2+1`] Method 2 Let `u=root3(z^2+1)impliesu^3=z^2+1` Then `3u^2du=2zdz` `I=int(2zdz)/(root3(z^2+1))` `=int(3u^2du)/(u)` `=3*intudu` `=3*u^2/2+C` [Integrate with respect to u] `=3/2(z^2+1)^(2//3)+C` [Replace u by `(z^2+1)^(1//3)`] |
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| 25314. |
In an experiment three microscopic latex spheres are sprayed into a chamber and became charged with charges +3e, +5e and −3e respectively. All the three spheres came in contact simultaneously for a moment and got separated. Which one of the following are possible values for the final charge on the spheres?(a) +5e, −4e, +5e (b) +6e, +6e, −7e (c) −4e, +3.5e, +5.5e (d) +5e, −8e, +7e |
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Answer» Option : (b) +6e, +6e, −7e |
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| 25315. |
if `a+b+c=0` then `Delta=|{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0` isA. `x=0`B. `x=sqrt(a^(2)+b^(2)+c^(2))`C. `x=-sqrt((3)/(2)(a^(2)+b^(2)+c^(2)))`D. `x=-sqrt((3)/(2)(a^(2)+b^(2)+c^(2)))` |
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Answer» Correct Answer - A::B::C Applying `R_(1)toR_(1)R_(2)+R_(3)` and taking `a+b+c-x` common from the first row the `(a+b+c-x)|{:(1,0,0),(c,b-x,a),(b,a,c-x):}|=0` Applying `C_(2)toC_(2)-C_(1)` and `C_(3)toC_(3)-C_(5)` then `(a+b+c-x)|{:(1,0,0),(c,b-x-c,a-c),(b,a-b,c-x-b):}|=0` `impliesx^(x^(2)-a^(2)-b^(2)-c^(2)+ab+bc+ac)=0` `impliesx=0+-sqrt((3)/(2)(a^(2)+b^(2)+c^(2)))` `becausea+b+c=0` |
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| 25316. |
if `alpha+(1)/(alpha)` and `2-beta-(1)/(beta)(alpha,betage0)` are the roots of the quadratic eqaution `x^(2)-2(a+1)x+a-3=0` then the integral values of a may beA. 3B. 0C. 5D. `-1` |
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Answer» Correct Answer - A::C::D `alpha+(1)/(alpha)ge2` `-beta-(1)/(beta)le-2implies2-beta-(1)/(beta)le0` Thus one root is greater than or equal to 2 and other roots is smaller than or equal to zero. |
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| 25317. |
(100-100)/(100-100)=2 |
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Answer» Cancel Terms `1 = 2` Statement Is False `1 = 2` |
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| 25318. |
If the distance from pole to focus of any concave mirror is 25 cm, what will be distance of focus to centre of curvature ?(A) 50 cm (B) 25 cm(C) 75 cm (D) None of these |
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Answer» If the distance from pole to focus of any concave mirror is 25 cm, 25 cm will be distance of focus to centre of curvature. |
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| 25319. |
The Refractive index of diamond is 2.4. What will be speed of light in diamond.(A) 7.2 × 108 m/s (B) 3 × 108 m/s(C) 0.8 × 108 m/s (D) 1.2 × 108 m/s |
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Answer» The speed of light in diamond is 1.2 × 108 m/s. |
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| 25320. |
SI Unit of power of lens is(A) cm (B) cm–1(C) m–1 (D) m |
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Answer» SI Unit of power of lens is m–1 |
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| 25321. |
A astronaut standing on moon seems sky(A) Blue (B) White(C) Red (D) Black |
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Answer» A astronaut standing on moon seems sky Black. |
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| 25322. |
area of a circle is 154 cm2 its circumference |
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Answer» Areaofthecircle=πr2 22/7 ×r2=154 r=7cm Circumference of the circle =2πr =2 × 22/7 × 7 = 44cm |
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| 25323. |
Which maintains static equilibrium - (1) Cerebrum (2) Utricle & Saccule (3) Cerebellum (4) Semicircular canal |
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Answer» (2) Utricle & Saccule |
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| 25324. |
State Brewster's law. Express it mathematically. |
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Answer» Brewster's law—It status that, the refractive index of the refractive medium (n) is numerically equal to the tangent of the angle of incident (iB) for which reflected ray is polarised. Mathematically, it can be expressed as— n = tan iB |
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| 25325. |
What will be resistance of filament of a electric bulb rated 100 W, 220 V.(A) 484 Ω (B) 121 Ω(C) 44 Ω (D) 22 Ω |
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Answer» The correct option is: 484 Ω |
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| 25326. |
While solving a physics problem you perform a series of algebraic manipulations that lead to a mathematical expression for distance. If F = Force, a = acceleration, v = velocity, m = mass, t = time, and N = normal force, use dimensional analysis to find which of the following expressions could be INCORRECT for distance.A. `(vtN)/(F)`B. `(v^(2))/(2a)`C. `(mva)/(N)t`D. `(ma^(-2)t^(2))/(N)` |
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Answer» Correct Answer - D `[(ma^(-2)t^(2)]/(N)]=[L^(-3)T^(8)]` |
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| 25327. |
The car delivered the cargo from point A to point B, moving at average speed `mu_(1)=40km//h`. Turning back, the car was moving at an average speed of `v_(2)=60km//h`.A. The average speed of its movement all the way is `50km//hr`B. The average speed of its movement all the way is `52km//hr`C. The average speed of its movement all the way is 0D. The average speed of its movement all the way is `48km//hr` |
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Answer» Correct Answer - D `t_(1)=(x)/(40),t_(2)=(x)/(60)` `v_(av)=(2x)/(t_(1)+t_(2))=(2x)/((x)/(40)+(x)/(60))=(2xx60xx40)/(100)=48km//hr` |
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| 25328. |
Horizontal component of earth’s magnetic field at a place is \(\sqrt 3\) times the vertical component. What is the value of inclination at that place? |
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Answer» Given that: BH = \(\sqrt3\) Bv Also, BH = B cos\(\delta\) Bv = B sin\(\delta\) ∴ tan\(\delta\) = \(\frac{B_v}{B_H}\) = \(\frac{B_v}{\sqrt{3}\,B_v}\) = \(\frac{1}{\sqrt3}\) \(\Rightarrow\) \(\delta\) = 30º \(\frac{Bv}{B_H}=tan\theta\) Putting values,\(\theta\)=30° |
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| 25329. |
Give two applications of ultra-violet waves. |
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Answer» Two applications of ultra-violet waves are as follow— (i) They are used to preserve food stuff and make drinking water free from bacteria, as these rays can kill bacteria, germs etc. (ii) They are used for stirlizing the surgical instruments. |
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| 25330. |
Applications of Linked List are(A) Simulation , event driven systems(B) Postfix and prefix manipulations (C) Dictionary systems, polynomial manipulations(D) Fixed block storage allocation, garbage collection |
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Answer» Correct option- (D) Fixed block storage allocation, garbage collection |
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| 25331. |
Two vectors `vec(P) & vec(Q)` are arranged in such a way that they form adjacent sides of a parallelogram as shown in figure Which of the following options have correct relationshipA. `vec(Q)=vec(R)+vec(S)`B. `vec(R)=vec(P)+vec(Q)`C. `vec(R)=vec(P)+vec(S)`D. `vec(S)=vec(Q)-vec(P)` |
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Answer» Correct Answer - B::D From parallelogram law of vector addition we know that (B) is correct `because" "vec(P)+vec(S)=vec(Q)` Hence `vec(S)=vec(Q)-vec(P)` |
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| 25332. |
Which of the following is conductor—(A) Rubber (B) Mica(C) Diamond (D) Iron |
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Answer» Iron is the conductor. |
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| 25333. |
On which part of the eye, the image of an object is formed ?(A) Cornea (B) retina(C) Pupil (D) iris |
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Answer» retina part of the eye, the image of an object is formed. |
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| 25334. |
All power plants use superheated steam due to which of the following advantages?1. Superheating is mostly done from waste heat of boiler without additional cost of fuel.2. The plant efficiency increases due to higher temperature of steam.3. There is less corrosion and erosion of equipment due to absence of moisture in the steam.Select the correct answer using the code given below:1. 1 and 2 only2. 2 and 3 only3. 1 and 3 only4. 1, 2 and 35. |
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Answer» Correct Answer - Option 2 : 2 and 3 only Explanation: Superheating of steam: The primary object of superheating steam is to avoid too much wetness at the end of the expansion. The use of an inadequate degree of superheat in steam engines would cause greater condensation in the engine cylinder, while in the case of turbines the moisture content of steam would result in undue blade erosion. Advantages of superheated steam:
Regeneration: Regeneration means to take some part of the heat from the expanding steam in the turbine to decrease the overall heat supplied in the process, therefore statement 1 is wrong. |
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| 25335. |
What do you mean by surface charge density and write its SI unit ? |
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Answer» Surface charge density—It is defined as charge per unit area. It is denoted by σ. It can be expressed as, σ = Q/A The S.I. unit of σ coulomb/metre2 (cm–2). |
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| 25336. |
Which one can not be used for making lens from following(A) air (B) water(C) mercury (D) glass |
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Answer» mercury can not be used for making lens. |
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| 25337. |
What gives science fiction its validity? |
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Answer» In this story author indicates the validity of science fiction by stating that “The difference is that the ancient myths and legends fulfil those needs and meet those goals against the background of a Universe that is controlled by gods and demons that can, in turn, be controlled by magical formulas either in the form of enchantments to coerce, or prayers to cajole. Science fiction, on the other hand, fulfils those needs against the background of a Universe that is controlled by impersonal and answerable laws of nature, which can, in turn, be controlled by an understanding of their nature. In a narrow sense, only science fiction is valid for today since, as far as we can tell, the Universe does follow the dictates of the laws of nature and is not at the mercy of gods and demons. This shows that law and nature validates the science fiction. |
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| 25338. |
Human Eyes are most sensitive to which color? |
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Answer» In humans, colour is perceived by specialised photoreceptor cells cones that contain three photopigments, iodopsin, porpyrosin and cyanopsin. Human eye are most sensitive to wavelength of 555 nm which corresponds to green light of visible spectrum. Hence, green colour produces highest brightness in eyes. |
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| 25339. |
What is the parallel drawn between myths and legends of the past and science fiction? |
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Answer» The ancient myths and legends are full of stories of human beings with supernormal powers. There are the legendary heroes who control situations, those ancient pieces of magic still fascinate us today, those crystal balls, into which one can see things that are happening many miles away, and magic spells that can allow us to hear the whisperings of humans many miles away. In science fiction, we have hypotheses that are often built upon the same principle which is superstitious believes and imaginary beliefs. The goals of these ancient stories are the same as those of modern science fiction. These are the parallels drawn between myths and legends of the past and science fiction that connect each other. |
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| 25340. |
Speed of light is 2 × 108 m/s in any medium. Refractive index of medium is(A) 1.0 (B) 1.5(C) 1.4 (D) 2.3 |
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Answer» Speed of light is 2 × 108 m/s in any medium. Refractive index of medium is 1.5 |
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| 25341. |
The distance between pole to centre of curvature of spherical mirror is called(A) focal length (B) radius of curvature(C) pole of distance (D) none of these |
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Answer» The distance between pole to centre of curvature of spherical mirror is called radius of curvature. |
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| 25342. |
The value of focal length of any plane mirror is(A) zero (B) one(C) infinity (D) None of these |
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Answer» The value of focal length of any plane mirror is infinity. |
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| 25343. |
Explain the process of Guest Cycle with diagram. |
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Answer» The guest cycle describes the activities that each guest passes by from the moment he/she calls to communicate a reservation inquiry till he/she departs from the hotel. In fact the guest cycle encompasses 4 different stages. Pre- arrival > Arrival> occupancy> departure Each stage of the guest cycle is associated guest services and guest accounting activities. Guest services Reservation> Registration> Occupancy services> check- out and history Guest Accounting Establishment of credits> posting charges> Night auditing> Settlement of Accounts |
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| 25344. |
If a bar magnet is cut into three pieces, what will be total numbers of poles ?(A) 2 (B) 3(C) 4 (D) 6 |
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Answer» If a bar magnet is cut into three pieces, 6 will be total numbers of poles. |
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| 25345. |
How travel agents are playing a role of middlemen in selling the services offered by hotels? |
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Answer» In the lodging industry, travel agents are one of the oldest and most widely used traditional distribution channels, acting as the intermediary between customers and room providers. Travel agents are retailers in travel and tourism who buy from the wholesalers and principals and sell to the tourists for commission. The role of the travel agent is to provide information to the customer as well as effectuate the booking and purchase of the hospitality product. Examples: of travel agents are Carlson Travel, Thomas cook. They access rates and place reservation in a variety of ways. |
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| 25346. |
Briefly explain the major Hotel chains in India. |
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Answer» The major players in the Indian hotel industry comprise of Indian Hotels Company Limited (the Taj group) and associate companies, EIH limited (the Oberoi group), ITC Hotels limited (the ITC welcome group). Most of these chains have presence in one or more metro cities and other locations in India and outside India. They are the companies that have preferred to opt for operating/management arrangements with international players of repute. Some of the companies in this category are Hotel Leela Venture, Asian Hotels, Bharat Hotels. These are small chains and have fewer properties, compared with big cities. |
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| 25347. |
Explain the Departments in hotel and their functions. |
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Answer» The hotel is organized into different departments. Each department has specific function to perform. The departments in a hotel can be classified into revenue and non- revenue departments. The major revenue producing departments are the major source of revenue for the hotel. The minor revenue producing are those that produce revenue mostly based on the products of other departments of the hotel. The non-revenue producing departments support the revenue departments in their efforts. |
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| 25348. |
Write down two importance of green economy. |
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Answer» 1. Green economy promotes sustainable development 2. Green economy promotes effective resource utilization |
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| 25349. |
Figure shows the variation of the moment of inertia of a uniform rod, about an axis passing through itss centre and inclined at an angle `theta` to the length. The moment of inertia of the rod about an axis passing through one of its ends and making an angle `theta=(pi)/(3)` will be A. `0.45 kg-m^(2)`B. `1.8 kg-m^(2)`C. `2.4 kg-m^(2)`D. `1.5 kg-m^(2)` |
| Answer» Correct Answer - A | |
| 25350. |
1 milliampere is equal to(A) 10–2A (B) 10–3A(C) 10–5A (D) 10–6A |
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Answer» 1 milliampere is equal to 10–3A |
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